In a driving device and a display apparatus having the driving device, a converter converts input image data and outputs first and second sub-image data which have different values. A first compensator compensates the first sub-image data and outputs a first compensated image data, and a second compensator compensates the second sub-image data and outputs a second compensated image data. An output circuit controls output time of the first and second compensated image data. Accordingly, sub-image data for each sub-pixel may be exactly compensated by employing compensators to individually compensate for the sub-image data of each sub-pixel.